Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
783451 | International Journal of Non-Linear Mechanics | 2015 | 9 Pages |
Abstract
•Applying the group analysis method, mathematical modeling is given.•Complete group classification of a system of integro-differential equations is presented.•Invariant solutions of various models are obtained.
In this paper a recently developed approach of the group analysis method is applied to a system of integro-differential equations describing the stress relaxation behavior of one-dimensional viscoelastic materials. An admitted Lie group is defined by solving determining equations of the system. Using an optimal system of one-dimensional subalgebras, all invariant solutions are obtained.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Long-Qiao Zhou, Sergey V. Meleshko,